Self-Generation of Parametric Soliton-Like Pulses in a Magnonic Quasi-Crystal Active Ring Resonator

This paper reports theoretical results of a parametric soliton-like pulse self-generation in an active ring resonator by using magnonic quasi-crystal (MQC) with Fibonacci-type structure. For the calculation of MQC transmission responses, the model based on the transfer matrix method is used. Besides, the model of the MQC active ring resonator that contains three perimetrically coupled differential equations and two differential equations of linear oscillators is used to calculate the parametric soliton-like pulse self-generation. It is established that such pulses are self-generated all over the range of the external static magnetic field values where three-wave parametric decay of the magnetostatic surface wave is allowed. The minimal threshold of the soliton-like pulse self-generation is observed at high values of a magnetic field. This threshold is increased at any value of a magnetic field when a magnonic crystal is used in a feedback loop.